Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "8.23" was replaced by "(823/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

  823
  ——— • ((2)(-6)•(5)(-6))
  100

Step  2  :

            823
 Simplify   ———
            100

Equation at the end of step  2  :

  823
  ——— • ((2)(-6)•(5)(-6))
  100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Multiplying exponents :

 3.2    5²  multiplied by  5⁶   = 5^{(2 + 6)} = 5⁸

Final result :

    823                                    
  ——————— = 8.23000 • 10-6 
  (28•58)